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Finding the Fourth Proportional to 33,000.42, 49,488.45 and 14,283.18

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Solution

The fourth proportional to 33,000.42, 49,488.45 and 14,283.18 is: 21,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,000.42 : 49,488.45 = 14,283.18 : x
  2. Step 2: Convert to fraction form
    33,000.42/49,488.45 = 14,283.18/x
  3. Step 3: Cross multiply
    33,000.42x = 49,488.45 × 14,283.18
  4. Step 4: Simplify right side
    33,000.42x = 706,852,439.27
  5. Step 5: Solve for x
    x = 706,852,439.27/33,000.42
  6. Step 6: Final answer
    x = 21,419.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.